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A graduate of the University of Gdańsk, he was involved in the Solidarity movement since its beginnings. He was an organizer of the Interim Coordination Commission of Solidarity. Later he was a secretary in the Solidarity's leader, Lech Wałęsa, office.
Pusz became a director of the Central Solidarity Office, and served this position in 1989.
When Wałęsa was elected President in 1990, Pusz was appointed a minister of state in the Office of the President and became Chief of Presidential Cabinet. He served this position from 22 December 1990 (a day Wałęsa took office) until 29 October 1991, when he was replaced by Mieczysław Wachowski.
Following this, Pusz retried from the active politics and dedicated himself to business. He, however, back when he was named deputy Voivode of the Gdańsk Voivodeship, and later after municipal reform, Pomeranian Voivodeship. He served as a deputy of the voivode from 1998 to 2001.
He ran for the President (Mayor) of Gdańsk in 2006 on the ballot of the Left and the Democrats (coalition of Democratic Party, Democratic Left Alliance, Labour Union and Social Democracy of Poland (SdPl).
He remained a close friend of former President Wałęsa.